What is the derivative of f(x)=(x+1/x)^5 ?

The derivative of f(x)=(x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))

What is the first derivative of f(x)=(x+1/x)^5 ?

The first derivative of f(x)=(x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))

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derivative of

f (x) = (x + \frac{1}{x})^{5}

5 (x + \frac{1}{x})^{4} (1 - \frac{1}{x ^{2}})

Solution steps

\frac{d}{d x} ((x + \frac{1}{x})^{5})

Apply the chain rule:

5 (x + \frac{1}{x})^{4} \frac{d}{d x} (x + \frac{1}{x})

= 5 (x + \frac{1}{x})^{4} \frac{d}{d x} (x + \frac{1}{x})

\frac{d}{d x} (x + \frac{1}{x}) = 1 - \frac{1}{x ^{2}}

= 5 (x + \frac{1}{x})^{4} (1 - \frac{1}{x ^{2}})

\int_{30}^{150} \frac{75}{2 x ^{2}} d x

\frac{s - 5}{s ^{2} + s - 6}

\frac{d}{d x} (sin (x) d x)

\int x 3 x - 2 d x

\frac{d}{d x} ((3 x)^{l n (3 x)})

What is the derivative of f(x)=(x+1/x)^5 ?
The derivative of f(x)=(x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))
What is the first derivative of f(x)=(x+1/x)^5 ?
The first derivative of f(x)=(x+1/x)^5 is 5(x+1/x)^4(1-1/(x^2))